GCF of 8526/749, 5743/4258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8526/749, 5743/4258 i.e 1/3189242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8526/749, 5743/4258.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8526/749,5743/4258?
Given fractions are 8526/749,5743/4258
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8526/749,5743/4258, numerators are 8526,5743
Denominators are 749,4258
The GCF of 8526,5743 is 1 .
LCM of 749,4258 is 3189242.
The greatest common factor of 8526/749,5743/4258 = [GCF of 8526,5743]/[LCM of 749,4258]= 1/3189242
Therefore, the GCF of 8526/749,5743/4258 is 1/3189242.
To find the highest common factor of 8526,5743, we have to find the factors of both numbers and list the highest common factor.
The factors of 8526 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526
The factors of 5743 are 1, 5743
The HCF of 8526,5743 is 1.
Lets's calculate GCF of 8526,5743
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8526,5743 By Matching Biggest Common Factor Method
Now, list down the factors of 8526
:1,2,3,6,7,14,21,29,42,49,58,87,98,147,174,203,294,406,609,1218,1421,2842,4263,8526
Now, list down the factors of 5743
:1,5743
Greatest Common Factor
We found the factors 8526,5743 . The biggest common factor number is the GCF number.
So the greatest common factor 8526,5743 is 1.
Lets's calculate LCM of 749,4258
Given numbers has no common factors except 1. So, there LCM is their product i.e 3189242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3189242
Therefore, the GCF of Fractions 8526/749,5743/4258 is 1/3189242
Least Common Multiple of 749,4258 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 749,4258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,4258) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,4258) x common factors =1 x 1 = 1
LCM(749,4258) = ( 749 × 4258 ) / 1
LCM(749,4258) = 3189242 / 1
LCM(749,4258) = 3189242
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FAQs on GCF of Fractions of 8526/749, 5743/4258
1. What is the HCF of 8526,5743?
The HCF of 8526,5743 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8526/749, 5743/4258?
Answer: GCF of Numerators as per given numbers 8526/749, 5743/4258 is
GCF of Numerators i.e. for 8526,5743 is 1
LCM of denominators i.e. for 749,4258 is 3189242.
Thus, GCF of Fractions is 1/3189242.Finally, GCF of Fractions for 8526/749, 5743/4258 is 1/3189242.